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Finding the Fourth Proportional to 11,422.98, 15,762.63 and 6,706.35

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Solution

The fourth proportional to 11,422.98, 15,762.63 and 6,706.35 is: 9,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.98 : 15,762.63 = 6,706.35 : x
  2. Step 2: Convert to fraction form
    11,422.98/15,762.63 = 6,706.35/x
  3. Step 3: Cross multiply
    11,422.98x = 15,762.63 × 6,706.35
  4. Step 4: Simplify right side
    11,422.98x = 105,709,713.70
  5. Step 5: Solve for x
    x = 105,709,713.70/11,422.98
  6. Step 6: Final answer
    x = 9,254.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.